Comparison of moments of Rademacher chaoses

Paata Ivanisvili; Tomasz Tkocz

doi:10.4310/ARKIV.2019.v57.n1.a7

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Home > Journals > Ark. Mat. > Volume 57 > Issue 1 > Article

April 2019 Comparison of moments of Rademacher chaoses

Paata Ivanisvili, Tomasz Tkocz

Author Affiliations +

Paata Ivanisvili,¹ Tomasz Tkocz²
¹Department of Mathematics, Princeton University, Princeton, New Jersey, U.S.A.; Department of Mathematics, University of California at Irvine
²Department of Mathematics, Carnegie Mellon University, Pittsburgh, Pennsylvania, U.S.A.

Ark. Mat. 57(1): 121-128 (April 2019). DOI: 10.4310/ARKIV.2019.v57.n1.a7

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Abstract

We show that complex hypercontractivity gives better constants than real hypercontractivity in comparison inequalities for (low) moments of Rademacher chaoses (homogeneous polynomials on the discrete cube).

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Paata Ivanisvili. Tomasz Tkocz. "Comparison of moments of Rademacher chaoses." Ark. Mat. 57 (1) 121 - 128, April 2019. https://doi.org/10.4310/ARKIV.2019.v57.n1.a7